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确定性混沌

Deterministic Chaos
课程网址: http://videolectures.net/coinplanetdataschool2011_krese_chaos/  
主讲教师: Blaž Krese
开课单位: 卢布尔雅那大学
开课时间: 2011-12-23
课程语种: 英语
中文简介:
确定性混沌的发现即使是简单的确定性动力系统也能表现出复杂,随机的行为,被认为是20世纪最重要的一个。混乱在自然科学,经济学,社会科学和工程学中遇到过。值得注意的是,混沌理论补充并有助于数学和经验建模,预测和系统控制。这次演讲的目的是以非正式的方式介绍确定性混乱的概念。然而,引入了诸如动力系统,确定性,非线性,不稳定性和对初始条件的敏感性等术语。他们不是通过实验,双摆来呈现上述术语的数学描述。这个简单而有启发性的动力系统可以表现出不同的动态,从周期到混乱。这种混沌行为的呈现方式是针对混沌现象的现象学和直观描述,并希望能够为理解复杂性提供另一种视角。
课程简介: The discovery of deterministic chaos that even simple deterministic dynamical system can exhibit complex, random-like behavior is considered as one of the most important in the 20th century. Chaos has been encountered in natural sciences, economics, social sciences and engineering. Notably, chaos theory complements and contributes to mathematical and empirical modeling, prediction and system control. The aim of the talk is to introduce the idea of deterministic chaos in an informal manner. Still, terms like dynamical system, determinism, nonlinearity, instability and sensitivity to initial conditions are introduced. Rather than giving mathematical description of the mentioned terms they are presented through experiment, double pendulum. This simple, yet instructive dynamical system can exhibit different kinds of dynamics, from periodic to chaotic. This way of presentation of chaotic behavior is oriented towards phenomenological and intuitive description of chaotic phenomena and hopefully will give another perspective to understanding of complexity.
关 键 词: 确定性动力系统; 确定性混沌; 混沌理论
课程来源: 视频讲座网
最后编审: 2019-03-05:lxf
阅读次数: 64